Evaluate
\frac{\left(9d+14f\right)^{2}}{441}
Expand
\frac{4df}{7}+\frac{4f^{2}}{9}+\frac{9d^{2}}{49}
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\frac{9}{49}d^{2}+\frac{4}{7}df+\frac{4}{9}f^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{3}{7}d+\frac{2}{3}f\right)^{2}.
\frac{9}{49}d^{2}+\frac{4}{7}df+\frac{4}{9}f^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{3}{7}d+\frac{2}{3}f\right)^{2}.
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